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21321200 = 2452151353
BaseRepresentation
bin101000101010…
…1010111110000
31111010020012002
41101111113300
520424234300
62040553132
7346140635
oct121252760
944106162
1021321200
1111042a2a
1271827a8
1345568c4
142b9018c
151d125d5
hex14555f0

21321200 has 60 divisors (see below), whose sum is σ = 51709488. Its totient is φ = 8448000.

The previous prime is 21321199. The next prime is 21321203. The reversal of 21321200 is 212312.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21321203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60224 + ... + 60576.

Almost surely, 221321200 is an apocalyptic number.

21321200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25854744).

21321200 is an abundant number, since it is smaller than the sum of its proper divisors (30388288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21321200 is a wasteful number, since it uses less digits than its factorization.

21321200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 21321200 is about 4617.4884948422. The cubic root of 21321200 is about 277.2919198722.

Adding to 21321200 its reverse (212312), we get a palindrome (21533512).

The spelling of 21321200 in words is "twenty-one million, three hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 151 200 302 353 400 604 706 755 1208 1412 1510 1765 2416 2824 3020 3530 3775 5648 6040 7060 7550 8825 12080 14120 15100 17650 28240 30200 35300 53303 60400 70600 106606 141200 213212 266515 426424 533030 852848 1066060 1332575 2132120 2665150 4264240 5330300 10660600 21321200